Is my boyfriend sabotaging our relationship?

I will have been with my boyfriend for about a yr and a half next month. Ever since 6 months in we’ve had some issues. When we first started dating he was a knight in shining armor! Super sweet and a gentleman. After a few months in I learnt about some of his really HORRIBLE past relationships (women who really used him and hurt him badly). His friends even let me know that after the last really bad relationship, that he now has a problem trusting and committing to women . Not long after that we started having trust issues. He would ask if I was going to leave him like every weekend. He would get kinda rude and say things like “Im testing you to see if you really want to stay with me” and even would give me “advice” that if I took he would get angry about (I.E you should quite your job and find another one). Most of the time these “episodes” happen on the same week each month (like a male version of PMS LOL, no joke), Lately however it’s been increasing and he went as far as to tell me “I dont love you anymore” when drunk, only to deny it the next day and apologize. I love him and have a big connection with him when hes not acting NUTS. He’s more and more distant and hardly romantic now. Its like hes sabotaging our relationship out of fear. Do you think its even worth me working it out? Or should I just give up and call it day?